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Title: Time-dependent density-functional-theory calculations of the nonlocal electron stopping range for inertial confinement fusion applications

Journal Article · · Physical Review. E

Nonlocal electron transport is important for understanding laser-target coupling for laser-direct-drive (LDD) inertial confinement fusion (ICF) simulations. Current models for the nonlocal electron mean free path in radiation-hydrodynamic codes are based on plasma-physics models developed decades ago; improvements are needed to accurately predict the electron conduction in LDD simulations of ICF target implosions. Here we utilized time-dependent density functional theory (TD-DFT) to calculate the electron stopping power (SP) in the so-called conduction-zone plasmas of polystyrene in a wide range of densities and temperatures relevant to LDD. Compared with the modified Lee-More model, the TD-DFT calculations indicated a lower SP and a higher stopping range for nonlocal electrons. We fit these electron SP calculations to obtain a global analytical model for the electron stopping range as a function of plasma conditions and the nonlocal electron kinetic energy. This model was implemented in the one-dimensional radiation-hydrodynamic code LILAC to perform simulations of LDD ICF implosions, which are further compared with simulations by the standard modified Lee-More model. Results from these integrated simulations are discussed in terms of the implications of this TD-DFT-based mean-free-path model to ICF simulations.

Research Organization:
Univ. of Rochester, NY (United States). Lab. for Laser Energetics; Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
NA0003856; 89233218CNA000001
OSTI ID:
2008087
Journal Information:
Physical Review. E, Vol. 108, Issue 3; ISSN 2470-0045
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (53)

Generalized Gradient Approximation Made Simple journal October 1996
Z1 oscillations in slow channeled ion stopping power journal April 1992
Dynamical and optical properties of warm dense hydrogen journal April 2001
Time-dependent orbital-free density functional theory: Background and Pauli kernel approximations journal June 2021
Charged particle motion in a highly ionized plasma journal May 2005
Optical properties of highly compressed polystyrene: An ab initio study journal October 2017
Proton stopping measurements at low velocity in warm dense carbon journal May 2022
First-principles equation of state of CHON resin for inertial confinement fusion applications journal October 2022
Charged-particle wake in the random-phase approximation journal April 1983
A B I NITIO M OLECULAR D YNAMICS WITH D ENSITY F UNCTIONAL T HEORY journal October 2002
First-principles investigations on ionization and thermal conductivity of polystyrene for inertial confinement fusion applications journal April 2016
The Barkas effect in plasma transport journal March 2019
Effect of laser illumination nonuniformity on the analysis of time-resolved x-ray measurements in uv spherical transport experiments journal October 1987
First-principles equation of state of polystyrene and its effect on inertial confinement fusion implosions journal October 2015
Stopping power of dense plasmas: The collisional method and limitations of the dielectric formalism journal February 2018
Unified Approach for Molecular Dynamics and Density-Functional Theory journal November 1985
The Bloch correction, key to heavy-ion stopping journal September 2020
Observations of anomalous x-ray emission at early stages of hot-spot formation in deuterium-tritium cryogenic implosions journal February 2021
Recent developments in libxc — A comprehensive library of functionals for density functional theory journal January 2018
Resolution of the Σ -Mass Anomaly journal July 1963
Self-Consistent Equations Including Exchange and Correlation Effects journal November 1965
Lawson Criterion for Ignition Exceeded in an Inertial Fusion Experiment journal August 2022
Time-dependent density functional theory applied to average atom opacity journal April 2021
Direct-drive laser fusion: status, plans and future
  • Campbell, E. M.; Sangster, T. C.; Goncharov, V. N.
  • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 379, Issue 2189 https://doi.org/10.1098/rsta.2020.0011
journal December 2020
An electron conductivity model for dense plasmas journal January 1984
Solution of the Schrödinger equation by a spectral method journal September 1982
Equations of State of Elements Based on the Generalized Fermi-Thomas Theory journal May 1949
X-ray Thomson Scattering in Warm Dense Matter without the Chihara Decomposition journal March 2016
Time-dependent orbital-free density functional theory for electronic stopping power: Comparison to the Mermin-Kohn-Sham theory at high temperatures journal October 2018
A nonlocal electron conduction model for multidimensional radiation hydrodynamics codes journal January 2000
Early stage of implosion in inertial confinement fusion: Shock timing and perturbation evolution journal January 2006
Pseudopotentials for H to Kr optimized for gradient-corrected exchange-correlation functionals journal May 2005
Charged particle stopping power effects on ignition: Some results from an exact calculation journal May 2008
Measurement of Charged-Particle Stopping in Warm Dense Plasma journal May 2015
A Stochastic Estimator of the Trace of the Influence Matrix for Laplacian Smoothing Splines journal January 1989
Understanding the effects of laser imprint on plastic-target implosions on OMEGA journal October 2016
Mitigating laser-imprint effects in direct-drive inertial confinement fusion implosions with an above-critical-density foam layer journal August 2018
Measurement of theZ13contribution to the stopping power using MeV protons and antiprotons: The Barkas effect journal April 1989
Modified parameterization of the Li-Petrasso charged-particle stopping power theory journal December 2019
Nonlocal orbital-free noninteracting free-energy functional for warm dense matter journal November 2013
Strong Coupling and Degeneracy Effects in Inertial Confinement Fusion Implosions journal June 2010
Direct-drive inertial confinement fusion: A review journal November 2015
Theoretical and experimental aspects of the energy loss of relativistic heavily ionizing particles journal January 1980
Burning plasma achieved in inertial fusion journal January 2022
Optical Properties of Au Nanoclusters from TD-DFT Calculations journal March 2011
Mixed stochastic-deterministic time-dependent density functional theory: application to stopping power of warm dense carbon journal February 2022
Thermal Properties of the Inhomogeneous Electron Gas journal March 1965
Forces from Stochastic Density Functional Theory under Nonorthogonal Atom-Centered Basis Sets journal January 2022
First-principles equation-of-state table of deuterium for inertial confinement fusion applications journal December 2011
A practical nonlocal model for electron heat transport in laser plasmas journal November 1991
Stopping of Deuterium in Warm Dense Deuterium from Ehrenfest Time-Dependent Density Functional Theory: Stopping of Deuterium in Warm Dense Deuterium from Ehrenfest Time-Dependent Density Functional Theory journal June 2016
Improved non-local electron thermal transport model for two-dimensional radiation hydrodynamics simulations journal August 2015
Ab Initio Studies on the Stopping Power of Warm Dense Matter with Time-Dependent Orbital-Free Density Functional Theory journal October 2018

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